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Finding the Third Proportional to 61,664 and 127,703

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Solution

The third proportional to 61,664 and 127,703 is: 264,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664 : 127,703 = 127,703 : x
  2. Step 2: Convert to fraction form
    61,664/127,703 = 127,703/x
  3. Step 3: Cross multiply
    61,664x = 127,703 × 127,703
  4. Step 4: Simplify right side
    61,664x = 16,308,056,209
  5. Step 5: Solve for x
    x = 16,308,056,209/61,664
  6. Step 6: Final answer
    x = 264,466.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.